Welcome to the integers worksheets page at Math-Drills.com! You may have a negative experience, but in the world of integers, that's a good thing!
If you've ever spent time in Canada in January, you've most likely experienced a negative integer first hand. Banks like you to keep negative balances in your accounts, so they can charge you loads of interest. Deep sea divers spend all sorts of time in negative integer territory. There are many reasons why a knowledge of integers is helpful even if you aren't going to pursue an accounting or deep sea diving career. One hugely important reason is that there are many high school mathematics topics that will rely on a strong knowledge of integers and the rules associated with them.
We've included a few hundred integers worksheets on this page to help support your students in their pursuit of knowledge. You may also want to get one of those giant integer number lines to post if you are a teacher, or print off a few of our integer number lines. You can also project them on your whiteboard or make an overhead transparency. For homeschoolers or those with only one or a few students, the paper versions should do. The other thing that we highly recommend are integer chips a.k.a. two-color counters. Read more about them below.
General Use Printables
Co-ordinate Grid Paper Integer Number Lines
Comparing Integers Worksheets
| Comparing Positive and Negative Integers (-15 to +15) | A B C D E F G H I J |
| Comparing Negative Integers (-15 to -1) | A B C D E F G H I J |
Ordering Integers Worksheets
Adding Integers Worksheets
Have you heard about two-color counters and how they can make your life much easier while helping students understand integers better? Sure, you could just teach them the the ++, +-, -+, and -- rules, but then they would have no color in their lives. Two-color counters are usually plastic chips that usually come with yellow on one side and red on the other side. They do come in other colors, so you'll have to use your own colors in our description.
Adding with two-color counters is actually quite easy. You model the first number with a pile of chips flipped to the correct side and you also model the second number with a pile of chips flipped to the correct side, then you mash them all together, take out the zeros (if any) and voila! you have your answer. Since there are a few confused faces in the audience, let us explain a little further.
When we say, the correct side, we mean use red for negative numbers and yellow for positive numbers. You would model -5 with five red chips and 7 with seven yellow chips. Mashing them together should be straight forward. Since you are adding, you put the two groups of chips together, being careful not to flip any of them in the process, of course. Taking out the zeros means removing as many pairs of yellow and red chips as you can. You do this because -1 and 1 when added together equals zero (this is called the zero principle of all things). If you remove the zeros, you don't change the answer at all. The benefit of removing the zeros, however, is that you always end up with only one color and by consequence, the answer to the integer question.
| Range (-9) to (+9) | A B C D E F G H I J |
| Range (-99) to (+99) | A B C D E F G H I J |
Subtracting Integers Worksheets
Subtracting with integer chips is a little different. Integer subtraction can be thought of as removing. To subtract with integer chips, begin by modeling the first number (the subtrahend) with integer chips. Next, remove the chips that would represent the second number from your pile and you will have your answer. Unfortunately, that isn't all there is to it. This works beautifully if you have enough of the right color chip to remove, but often times you don't. For example, 5 - (-5), would require five yellow chips to start and would also require the removal of five red chips, but there aren't any red chips! Thank goodness, we have the zero principle. Adding or subtracting zero (a red chip and a yellow chip) has no effect on the original number, so we could add as many zeros as we wanted to the pile, and the number would still be the same. All that is needed then is to add as many zeros (pairs of red and yellow chips) as needed until there are enough of the correct color chip to remove. In our example 5 - (-5), you would add 5 zeros, so that you could remove five red chips. You would then be left with 10 yellow chips (or +10) which is the answer to the question.
| Range (-9) to (+9) | A B C D E F G H I J |
| Range (-99) to (+99) | A B C D E F G H I J |
Mixed Adding and Subtracting Integers Worksheets
Multiplying Integers Workshets
| Mixed with a range of (-9) to 9 | A B C D E F G H I J All |
| Mixed with a range of (-12) to 12 | A B C D E F G H I J All |
| Mixed with a range of (-20) to 20 | A B C D E F G H I J All |
| Mixed with a range of (-50) to 50 | A B C D E F G H I J All |
| Positive × Negative (Range -9 to 9) | A B C D E F G H I J All |
| Negative × Positive (Range -9 to 9) | A B C D E F G H I J All |
| Negative × Negative (Range -9 to 9) | A B C D E F G H I J All |
| Positive × Negative (Range -12 to 12) | A B C D E F G H I J All |
| Negative × Positive (Range -12 to 12) | A B C D E F G H I J All |
| Negative × Negative (Range -12 to 12) | A B C D E F G H I J All |
Dividing Integers Worksheets
| Mixed with a range of (-9) to 9 | A B C D E F G H I J All |
| Mixed with a range of (-12) to 12 | A B C D E F G H I J All |
| Mixed with a range of (-20) to 20 | A B C D E F G H I J All |
| Mixed with a range of (-50) to 50 | A B C D E F G H I J All |
| Negative ÷ Positive (Range -9 to 9) | A B C D E F G H I J All |
| Negative ÷ Negative (Range -9 to 9) | A B C D E F G H I J All |
| Positive ÷ Negative (Range -9 to 9) | A B C D E F G H I J All |
| Negative ÷ Positive (Range -12 to 12) | A B C D E F G H I J All |
| Negative ÷ Negative (Range -12 to 12) | A B C D E F G H I J All |
| Positive ÷ Negative (Range -12 to 12) | A B C D E F G H I J All |
